Math Homework. Do It Faster, Learn It Better.

Converting Decimals to Fractions: Part A

If a decimal number terminates (in other words, the digits don't go on forever), express the decimal number as a common fraction with a power of ten as the denominator.  Then reduce the fraction to lowest terms .

Since we need to put our number over a power of ten, we need to know what the various places after the decimal point mean.


Express 0.425 as a fraction in lowest terms.

Since there are 3 digits in 425 , the very last digit is the 1000 th place. 

So, 0.425 is read 425 thousandths.

It is written 425 1000 . It is now in fraction form but not reduced to lowest terms.

425 and 1000 have a common factor of 25 , so we have to divide both the numerator and the denominator by 25 to reduce the fraction.

425 1000 ÷ 25 25 = 17 40 .   Now the fraction is in lowest terms.